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Finding the Fourth Proportional to 16,289.09, 24,438.82 and 7,281.82

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Solution

The fourth proportional to 16,289.09, 24,438.82 and 7,281.82 is: 10,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.09 : 24,438.82 = 7,281.82 : x
  2. Step 2: Convert to fraction form
    16,289.09/24,438.82 = 7,281.82/x
  3. Step 3: Cross multiply
    16,289.09x = 24,438.82 × 7,281.82
  4. Step 4: Simplify right side
    16,289.09x = 177,959,088.25
  5. Step 5: Solve for x
    x = 177,959,088.25/16,289.09
  6. Step 6: Final answer
    x = 10,925.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.